David started a business establishment by investing Rs 15000. After 4 months William entered into a partnership by investing a certain amount. At the end of the year the profit was shared in the ratio 9 : 8. Find how much money was invested by william in Rs

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Solution

Let william invested Rs.x
Profit sharing ratio = $15000 \times 12 : 8 x = 1, 80, 000 : 8 x$
Also profit ratio = $9 : 8$
$∴ 180000 : 8 x = 9 : 8$
$\Rightarrow \frac{180000 \times 8}{9 \times 8} = x \Rightarrow x = R s .20, 000$

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David started a business establishment by investing Rs 15000. After 4 months William entered into a partnership by investing a certain amount. At the end of the year the profit was shared in the ratio 9 : 8. Find how much money was invested by william in Rs

Let william invested Rs.x Profit sharing ratio = 15000×12:8x=1,80,000:8xAlso profit ratio = 9:8∴180000:8x=9:8⇒180000×89×8=x⇒x=Rs.20,000

Let william invested Rs.x
Profit sharing ratio = $15000 \times 12 : 8 x = 1, 80, 000 : 8 x$
Also profit ratio = $9 : 8$
$∴ 180000 : 8 x = 9 : 8$
$\Rightarrow \frac{180000 \times 8}{9 \times 8} = x \Rightarrow x = R s .20, 000$